In (quant–ph/0701141) Rajeev studied quantization of the damped simple harmonic oscillator and introduced a complex–valued Hamiltonian (which is normal). In this note we point out that the quantization is interpreted as a quantum mechanics with complex time. We also present a problem on quantization of classical control systems. In the paper [1] Rajeev studied a quantization of the damped simpl...

Color quantization is an essential technique in color image processing, which has been continuously researched. It is often used, in particular, as preprocessing for many applications. Self-Organizing Map (SOM) color quantization is one of the most effective methods. However, it is inefficient for obtaining accurate results when it performs quantization with too few colors. In this paper, we pr...

Psychophysical experiments inspire a more complete analysis of the effect of quantization on a modified version of the histogram indexing method of object recognition. We derive an equation that describes how the amount of quantization and number of features kept affects recognition accuracy. The equation shows that quantization from 224 colors to 15 colors has a negligible effect on accuracy. ...

A generalization of canonical quantization which maps a dynamical operator to a dynamical superoperator is suggested. Weyl quantization of dynamical operator, which cannot be represented as Poisson bracket with some function, is considered. The usual Weyl quantization of observables is a specific case of suggested quantization. This approach allows to define consistent quantization procedure fo...

In this paper, the preparation of a neural network for pruning and few-bit quantization is formulated as a variational inference problem. To this end, a quantizing prior that leads to a multi-modal, sparse posterior distribution over weights, is introduced and a differentiable Kullback-Leibler divergence approximation for this prior is derived. After training with Variational Network Quantizati...

A short rewiev of covariant quantization methods based on BRST-antiBRST symmetry is given. In particular problems of correct definition of Sp(2) symmetric quantization scheme known as triplectic quantization are considered.

We introduce a technique for dimensionality estimation based on the notion of quantization dimension, which connects the asymptotic optimal quantization error for a probability distribution on a manifold to its intrinsic dimension. The definition of quantization dimension yields a family of estimation algorithms, whose limiting case is equivalent to a recent method based on packing numbers. Usi...

In this paper, the quality of quantization and visualization of vectors, obtained by vector quantization methods (self-organizing map and neural gas), is investigated. A multidimensional scaling is used for visualization of multidimensional vectors. The quality of quantization is measured by a quantization error. Two numerical measures for proximity preservation (Konig’s topology preservation m...

Optimum scalar quantization is considered for the IIR filter and quantization system presented in "Power reduction in wireless receivers through multistage digital filtering and quantization" [1]. In [1], only suboptimum uniform quantization was used. An optimum scalar quantizer was constructed for a training sequence with a Signal to Interference ratio of −40dB, as was considered in extensivel...